Answer:
To find the answer, we can use the formula:
number of won games / total number of games played = percentage won
Let x be the total number of games played. We know that the percentage won is 65%, or 0.65 as a decimal. So we can set up the equation:
number of won games / x = 0.65
To solve for x, we can cross-multiply:
number of won games = 0.65x
We want to find a whole number value for x that makes sense. One way to do this is to try each answer choice and see if it gives a whole number value for the number of won games. Let's start with choice A:
If the team played 22 games, then the number of won games is:
number of won games = 0.65 * 22 = 14.3
This is not a whole number value, so we can rule out choice A.
We can repeat this process for each answer choice. When we try choice C, we get:
number of won games = 0.65 * 18 = 11.7
This is also not a whole number value, so we can rule out choice C.
When we try choice D, we get:
number of won games = 0.65 * 14 = 9.1
This is also not a whole number value, so we can rule out choice D.
Therefore, the only remaining answer choice is B, which gives us:
number of won games = 0.65 * 20 = 13
This is a whole number value, so the team could have played 20 games in total last season.